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Finding the Fourth Proportional to 65,294.60, 90,105.26 and 38,075.76

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Solution

The fourth proportional to 65,294.60, 90,105.26 and 38,075.76 is: 52,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.60 : 90,105.26 = 38,075.76 : x
  2. Step 2: Convert to fraction form
    65,294.60/90,105.26 = 38,075.76/x
  3. Step 3: Cross multiply
    65,294.60x = 90,105.26 × 38,075.76
  4. Step 4: Simplify right side
    65,294.60x = 3,430,826,254.50
  5. Step 5: Solve for x
    x = 3,430,826,254.50/65,294.60
  6. Step 6: Final answer
    x = 52,543.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.